Elements of Natural Philosophy, Volume 1 |
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Page 8
... according as it increases or diminishes , but the word acceleration is generally used in either sense , on the understanding that we may regard its quantity as either positive or negative : and ( § 34 ) is farther generalized so as to ...
... according as it increases or diminishes , but the word acceleration is generally used in either sense , on the understanding that we may regard its quantity as either positive or negative : and ( § 34 ) is farther generalized so as to ...
Page 12
... according to Kepler's first law . Evidently there is no acceleration perpendicular to the plane con- taining the fixed point and the line of motion of the moving point at any instant ; and there being no velocity perpendicular to this ...
... according to Kepler's first law . Evidently there is no acceleration perpendicular to the plane con- taining the fixed point and the line of motion of the moving point at any instant ; and there being no velocity perpendicular to this ...
Page 16
... according to the inverse square of the distance from the centre . Hence the rate at which a planet receives heat and light from the sun varies in simple proportion to the angular velocity of the radius - vector . Hence the whole heat ...
... according to the inverse square of the distance from the centre . Hence the rate at which a planet receives heat and light from the sun varies in simple proportion to the angular velocity of the radius - vector . Hence the whole heat ...
Page 19
... according to preceding rules . 68. The following practical methods of effecting such a com- bination in the simple case of the movements of two points are useful in scientific illustrations and in certain mechanical arrange- ments . Let ...
... according to preceding rules . 68. The following practical methods of effecting such a com- bination in the simple case of the movements of two points are useful in scientific illustrations and in certain mechanical arrange- ments . Let ...
Page 23
... according as the crown of the solar tide precedes or follows the crown of the lunar tide ; and it will be exactly reached when the interval of phase between the two component tides is 3.95 lunar hours . That is to say , there will be ...
... according as the crown of the solar tide precedes or follows the crown of the lunar tide ; and it will be exactly reached when the interval of phase between the two component tides is 3.95 lunar hours . That is to say , there will be ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centimetre centre of gravity centre of inertia circle circular cloth co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance elements ellipse ellipsoid elongation equal equations equilibrium external point Extra fcap finite flexure fluid forces acting friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving Natural Philosophy normal section Oxford P₁ parallel particle path pendulum perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theory tion torsion uniform unit vertical whole wire
Popular passages
Page 161 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.
Page 28 - Fourier's theorem is not only one of the most beautiful results of modern analysis, but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.
Page 161 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page 66 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 68 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
Page 130 - UNTIL we know thoroughly the nature of matter and the forces which produce its motions, it will be utterly impossible to submit to mathematical reasoning the exact conditions of any physical question.